Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114444t |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-14320281323361024 = -1 · 28 · 36 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-353736,-81182412] |
[a1,a2,a3,a4,a6] |
Generators |
[2448652630488:65586825353637:2217342464] |
Generators of the group modulo torsion |
j |
-3760128/11 |
j-invariant |
L |
8.0348927637732 |
L(r)(E,1)/r! |
Ω |
0.097864155928897 |
Real period |
R |
20.525627303246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12716b1 114444h1 |
Quadratic twists by: -3 17 |